The position of a mass oscillating at the end of a spring is s(t) A sin t, where A is the amplitude and is the angular frequency Show that the speed v(t) is at a maximum when the acceleration a(t) is zero and that a(t) is at a maximum when v(t) is zero ...

Let st A sin t Then and Thus the speed vt A cos t is a maximum whe ...

The position of a mass oscillating at the end of a spring is s(t) = A sin

Question:

The position of a mass oscillating at the end of a spring is s(t) = A sin ωt, where A is the amplitude and ω is the angular frequency. Show that the speed |v(t)| is at a maximum when the acceleration a(t) is zero and that |a(t)| is at a maximum when v(t) is zero.